Properties of the Number 73281

Seventy-Three Thousand Two Hundred Eighty-One

Basics

Value: 73280 → 73281 → 73282

Parity: odd

Prime: No

Previous Prime: 73277

Next Prime: 73291

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 1879

Divisors: 1, 3, 13, 39, 1879, 5637, 24427, 73281

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10001111001000001

Octal: 217101

Duodecimal: 364A9

Hexadecimal: 11e41

Square: 5370104961

Square Root: 270.7046360888561

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Least number k such that n concatenated with k produces a cube. A245631

Least number k > n such that n concatenated with k produces a cube. A243092

Number of Dyck paths of semilength n such that each level has exactly six peaks or no peaks. A288113

E.g.f. A(x) satisfies A(x) = exp( x·A(x·A(x)²)² ). A384749

Hidden fractal sequence: increasing sequence all of whose successive digits are the digits of the fractal sequence A025480 (which is built upon the natural counting numbers). A108685

The number of ways that a straight line segment of length n, marked into n equal units, can be surrounded in a plane by one layer of regular polygons of unit edge that fit together without any gaps or overlaps, such that every polygon shares either a vertex or an exact unit edge with the segment. ("Line wreaths of length n.") Ways that differ by reflection or rotation are not counted as different. A158091

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384749. A384751

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, -1, 0), (1, 0, 0), (1, 1, -1)}. A148202

Self-inverse permutation of natural numbers induced by the composition of the Catalan bijections A072796 and A073269. A73281